Probabilistic Resumable Quantum Teleportation of a Two-Qubit Entangled State

We explicitly present a generalized quantum teleportation of a two-qubit entangled state protocol, which uses two pairs of partially entangled particles as quantum channel. We verify that the optimal probability of successful teleportation is determined by the smallest superposition coefficient of these partially entangled particles. However, the two-qubit entangled state to be teleported will be destroyed if teleportation fails. To solve this problem, we show a more sophisticated probabilistic resumable quantum teleportation scheme of a two-qubit entangled state, where the state to be teleported can be recovered by the sender when teleportation fails. Thus the information of the unknown state is retained during the process. Accordingly, we can repeat the teleportion process as many times as one has available quantum channels. Therefore, the quantum channels with weak entanglement can also be used to teleport unknown two-qubit entangled states successfully with a high number of repetitions, and for channels with strong entanglement only a small number of repetitions are required to guarantee successful teleportation.

[1]  H. Weinfurter,et al.  Experimental quantum teleportation , 1997, Nature.

[2]  Shuntaro Takeda,et al.  Deterministic quantum teleportation of photonic quantum bits by a hybrid technique , 2013, Nature.

[3]  Fuguo Deng,et al.  Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement , 2005, quant-ph/0501129.

[4]  V. N. Gorbachev,et al.  Quantum teleportation of an Einstein-Podolsy-Rosen pair using an entangled three-particle state , 2000 .

[5]  Guang-Can Guo,et al.  Teleportation of a two-particle entangled state via entanglement swapping , 2000 .

[6]  Nguyen Ba An Probabilistic teleportation of an M-quNit state by a single non-maximally entangled quNit-pair , 2008 .

[7]  Isaac L. Chuang,et al.  Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations , 1999, Nature.

[8]  Hari Prakash,et al.  Minimum assured fidelity and minimum average fidelity in quantum teleportation of single qubit using non-maximally entangled states , 2011, Quantum Information Processing.

[9]  Kimble,et al.  Unconditional quantum teleportation , 1998, Science.

[10]  B. Hensen,et al.  Decoherence, the measurement problem, and interpretations of quantum mechanics , 2010 .

[11]  F. Martini,et al.  Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels , 1997, quant-ph/9710013.

[12]  Guang-Can Guo,et al.  Probabilistic teleportation and entanglement matching , 2000 .

[13]  S. Massar,et al.  Purifying Noisy Entanglement Requires Collective Measurements , 1998, quant-ph/9805001.

[14]  Shi Hu,et al.  Scheme for implementing multitarget qubit controlled-NOT gate of photons and controlled-phase gate of electron spins via quantum dot-microcavity coupled system , 2016, Quantum Inf. Process..

[15]  N. Lutkenhaus,et al.  Bell measurements for teleportation , 1998, quant-ph/9809063.

[16]  Luis Roa,et al.  Probabilistic teleportation without loss of information , 2015 .

[17]  Charles H. Bennett,et al.  Purification of noisy entanglement and faithful teleportation via noisy channels. , 1995, Physical review letters.

[18]  Xiu-Min Lin,et al.  Entanglement fidelity of the standard quantum teleportation channel , 2012, 1207.4575.

[19]  Masanori Ohya,et al.  Some aspects of quantum information theory and their applications to irreversible processes , 1989 .

[20]  Albert Einstein,et al.  Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , 1935 .

[21]  Chun-Wei Yang,et al.  Authenticated semi-quantum key distribution protocol using Bell states , 2014, Quantum Inf. Process..

[22]  Desheng Liu,et al.  Probabilistic Teleportation via Quantum Channel with Partial Information , 2015, Entropy.

[23]  F. Sciarrino,et al.  Experimental realization of the quantum universal NOT gate , 2002, Nature.

[24]  Konrad Banaszek,et al.  Optimal quantum teleportation with an arbitrary pure state , 2000, quant-ph/0002088.

[25]  Dreyer,et al.  Observing the Progressive Decoherence of the "Meter" in a Quantum Measurement. , 1996, Physical review letters.

[26]  Kan Wang,et al.  Probabilistic Teleportation of Arbitrary Two-Qubit Quantum State via Non-Symmetric Quantum Channel , 2018, Entropy.

[27]  W. Wootters,et al.  A single quantum cannot be cloned , 1982, Nature.

[28]  Sleator,et al.  Realizable Universal Quantum Logic Gates. , 1995, Physical review letters.

[29]  Siyuan Liu,et al.  Probabilistic resumable bidirectional quantum teleportation , 2017, Quantum Inf. Process..

[30]  Sergio Albeverio,et al.  Optimal teleportation based on bell measurements , 2002, quant-ph/0208015.

[31]  Amit Verma,et al.  A general method for selecting quantum channel for bidirectional controlled state teleportation and other schemes of controlled quantum communication , 2015, Quantum Inf. Process..

[32]  Werner,et al.  Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model. , 1989, Physical review. A, General physics.

[33]  Mark Hillery,et al.  UNIVERSAL OPTIMAL CLONING OF ARBITRARY QUANTUM STATES : FROM QUBITS TO QUANTUM REGISTERS , 1998 .

[34]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[35]  Guang-Can Guo,et al.  Probabilistic teleportation of two-particle entangled state , 2000 .

[36]  M. Schlosshauer Decoherence, the measurement problem, and interpretations of quantum mechanics , 2003, quant-ph/0312059.

[37]  DiVincenzo Two-bit gates are universal for quantum computation. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[38]  Zhong-ke Shi,et al.  Probabilistic Teleportation via Entanglement , 2008 .

[39]  Y. Shih,et al.  Quantum teleportation with a complete Bell state measurement , 2000, Physical Review Letters.

[40]  Arun K. Pati,et al.  Probabilistic Quantum Teleportation , 2002, quant-ph/0210004.

[41]  G. Bowen,et al.  Teleportation as a depolarizing quantum channel, relative entropy, and classical capacity. , 2001, Physical review letters.